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64915968 = 293133251
BaseRepresentation
bin1111011110100…
…0101000000000
311112011001222010
43313220220000
5113104302333
610235212520
71415530245
oct367505000
9145131863
1064915968
1133709367
12198a7140
13105ab720
14889b5cc
155a74563
hex3de8a00

64915968 has 80 divisors (see below), whose sum is σ = 186300576. Its totient is φ = 19968000.

The previous prime is 64915909. The next prime is 64915987. The reversal of 64915968 is 86951946.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18343 + ... + 21593.

Almost surely, 264915968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93150288).

64915968 is an abundant number, since it is smaller than the sum of its proper divisors (121384608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64915968 is a wasteful number, since it uses less digits than its factorization.

64915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3269 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 64915968 is about 8057.0446194619. The cubic root of 64915968 is about 401.8992346636.

The spelling of 64915968 in words is "sixty-four million, nine hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3251 3328 4992 6502 6656 9753 9984 13004 19506 19968 26008 39012 42263 52016 78024 84526 104032 126789 156048 169052 208064 253578 312096 338104 416128 507156 624192 676208 832256 1014312 1248384 1352416 1664512 2028624 2496768 2704832 4057248 4993536 5409664 8114496 10819328 16228992 21638656 32457984 64915968